Extension of discrete t-norms and t-conorms to discrete fuzzy numbers

  • Authors:
  • Jaume Casasnovas;J. Vicente Riera

  • Affiliations:
  • Department of Mathematics and Computer Science, University of the Balearic Islands, E-07122 Palma de Mallorca, Spain;Department of Mathematics and Computer Science, University of the Balearic Islands, E-07122 Palma de Mallorca, Spain

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2011

Quantified Score

Hi-index 0.20

Visualization

Abstract

The aim of this paper is to extend a monotone operation defined on a discrete setting to a closed binary operation on the partially ordered set A"1 of discrete fuzzy numbers whose support is a subset of natural numbers. Moreover, we study several properties like the monotonicity, commutativity, associativity or the boundary condition when the extended operation is a discrete t-norm or a discrete t-conorm defined on a finite chain L={0,1,...,n}@?N. Also, we study the Frank's equation for t-norms and t-conorms defined on a special subset of A"1. Finally, we propose an application to obtain consensus opinion based on discrete fuzzy weighted normed operators.